498705984 has 224 divisors, whose sum is σ = 1699564800. Its totient is φ = 142207488.

The previous prime is 498705967. The next prime is 498706009. The reversal of 498705984 is 489507894.

498705984 is a `hidden beast` number, since 49 + 8 + 7 + 0 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 498705984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979522 + ... + 980030.

Almost surely, 2^498705984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849782400).

498705984 is an abundant number, since it is smaller than the sum of its proper divisors (1200858816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

498705984 is an frugal number, since it uses more digits than its factorization.

498705984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 498705984 is about 22331.7259521068. The cubic root of 498705984 is about 793.0152269985.

The spelling of 498705984 in words is "four hundred ninety-eight million, seven hundred five thousand, nine hundred eighty-four".